Question

encuentra la solución del sistema de ecuaciones.
$4x - y = -1$
$-4x - 6y = -34$

Explanation:

Step1: Add the two equations

$$(4x - y) + (-4x - 6y) = -1 + (-34)$$
Simplify:
$$4x - y -4x -6y = -35$$
$$-7y = -35$$

Step2: Solve for $y$

$$y = \frac{-35}{-7}$$
$$y = 5$$

Step3: Substitute $y=5$ into first equation

$$4x - 5 = -1$$

Step4: Solve for $x$

$$4x = -1 + 5$$
$$4x = 4$$
$$x = \frac{4}{4}$$
$$x = 1$$

Answer:

$x=1$, $y=5$